3121101120 has 224 divisors, whose sum is σ = 10515600000. Its totient is φ = 782106624.

The previous prime is 3121101089. The next prime is 3121101143. The reversal of 3121101120 is 211011213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3121101096 and 3121101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2498256 + ... + 2499504.

Almost surely, 2^3121101120 is an apocalyptic number.

3121101120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257800000).

3121101120 is an abundant number, since it is smaller than the sum of its proper divisors (7394498880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121101120 is a wasteful number, since it uses less digits than its factorization.

3121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 3121101120 is about 55866.8159106996. The cubic root of 3121101120 is about 1461.4005950387.

Adding to 3121101120 its reverse (211011213), we get a palindrome (3332112333).

The spelling of 3121101120 in words is "three billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".